Falling Liquid Films: 176 (Applied Mathematical Sciences) by S. Kalliadasis,C. Ruyer-Quil,B. Scheid,M. G. Velarde

By S. Kalliadasis,C. Ruyer-Quil,B. Scheid,M. G. Velarde

Falling Liquid Films offers a close evaluation of cutting-edge theoretical, analytical and numerical methodologies, for the research of dissipative wave dynamics and trend formation at the floor of a movie falling down a planar prone substrate. This prototype is an open-flow hydrodynamic instability, that represents a very good paradigm for the research of complexity in lively nonlinear media with power offer, dissipation and dispersion. it's going to even be of use for a extra basic realizing of particular occasions characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence.  specific emphasis is given to low-dimensional approximations for such flows via a hierarchy of modeling methods, together with equations of the boundary-layer kind, averaged formulations according to weighted residuals ways and long-wave expansions. each time attainable the hyperlink among concept and test is illustrated, and, as a different bridge among the 2, the improvement of order-of-magnitude estimates and scaling arguments is used to facilitate the knowledge of easy, underlying physics.


This monograph will entice complicated graduate scholars in utilized arithmetic, technological know-how or engineering project learn on interfacial fluid mechanics or learning fluid mechanics as a part of their application. it is going to even be of use to researchers engaged on either utilized, basic theoretical and experimental elements of skinny movie flows, in addition to engineers and technologists facing procedures related to isothermal or heated motion pictures. This monograph is essentially self-contained and no heritage on interfacial fluid mechanics is believed.

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